Quantum entanglement in exactly soluble atomic models: The Moshinsky models with three electrons, and with two electrons in a uniform magnetic field

P.A. BOUVRIE; A.P. MAJTEY; A.R. PLASTINO; P. SÁNCHEZ-MORENO; J.S. DEHESA

Conferencia; 11th Iberian Joint Meeting on Atomic and Molecular Physics; 2011

We investigate the entanglement properties of the eigenstates of a three-electron Moshinsky model. We analytically compute the amount of entanglement exhibited by the wavefunctions corresponding to the ground, first and second excited states of the system. We found that the amount of entanglement of the system tends to increase with energy, and in the case of excited states we found non vanishing entanglement in the limit of vanishing interaction. We also analyze the entanglement properties of the ground and some excited states of the two-electrons Moshinky model in the presence of a magneticfield. We observe two main tendencies. On the one hand the amount of entanglement of the excited states does not vanish for weak interaction and on the other hand we show that for strong magnetic fields the entanglement reaches a finite value dependent on theinteraction strength. For both, two and three electrons cases, we consider a perturbative approach in order to clarify the non vanishing entanglement of excited states in the limit of vanishing interaction. As far as we know this is the first work that provides analytical andexact results for the entanglement of the ground and the first few excited states in a threeelectron model.